Search a number
-
+
2143024200 = 2332524012969
BaseRepresentation
bin111111110111011…
…1111010001001000
312112100110220112200
41333232333101020
513342103233300
6552352240200
7104051255652
oct17756772110
95470426480
102143024200
119aa754889
124b9840060
13281ca3075
141648896d2
15c8215200
hex7fbbf448

2143024200 has 144 divisors (see below), whose sum is σ = 7217367300. Its totient is φ = 569856000.

The previous prime is 2143024187. The next prime is 2143024211. The reversal of 2143024200 is 24203412.

2143024200 is a `hidden beast` number, since 214 + 30 + 2 + 420 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 748897956 + 1394126244 = 27366^2 + 37338^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 720316 + ... + 723284.

Almost surely, 22143024200 is an apocalyptic number.

2143024200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3608683650).

2143024200 is an abundant number, since it is smaller than the sum of its proper divisors (5074343100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2143024200 is a wasteful number, since it uses less digits than its factorization.

2143024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2143024200 is about 46292.8093768352. The cubic root of 2143024200 is about 1289.2654913607.

Adding to 2143024200 its reverse (24203412), we get a palindrome (2167227612).

The spelling of 2143024200 in words is "two billion, one hundred forty-three million, twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 401 450 600 802 900 1203 1604 1800 2005 2406 2969 3208 3609 4010 4812 5938 6015 7218 8020 8907 9624 10025 11876 12030 14436 14845 16040 17814 18045 20050 23752 24060 26721 28872 29690 30075 35628 36090 40100 44535 48120 53442 59380 60150 71256 72180 74225 80200 89070 90225 106884 118760 120300 133605 144360 148450 178140 180450 213768 222675 240600 267210 296900 356280 360900 445350 534420 593800 668025 721800 890700 1068840 1190569 1336050 1781400 2381138 2672100 3571707 4762276 5344200 5952845 7143414 9524552 10715121 11905690 14286828 17858535 21430242 23811380 28573656 29764225 35717070 42860484 47622760 53575605 59528450 71434140 85720968 89292675 107151210 119056900 142868280 178585350 214302420 238113800 267878025 357170700 428604840 535756050 714341400 1071512100 2143024200